77750400 has 384 divisors, whose sum is σ = 318729600. Its totient is φ = 16220160.

The previous prime is 77750399. The next prime is 77750411. The reversal of 77750400 is 405777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873556 + ... + 873644.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^77750400 is an apocalyptic number.

77750400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

77750400 is an abundant number, since it is smaller than the sum of its proper divisors (240979200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77750400 is a wasteful number, since it uses less digits than its factorization.

77750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 77750400 is about 8817.6187261641. The cubic root of 77750400 is about 426.8096309107.

The spelling of 77750400 in words is "seventy-seven million, seven hundred fifty thousand, four hundred".